Baptizing babies (or not) in the first century

I recently heard a Roman Catholic apologist make the statement below about infant baptism. He was referencing the lack of early historical evidence for infant baptism; and the possibility that the apostles’ did not institute the practice “because of how baptism is described in the writings of the first 150 years of church history.” He said:

“Most of the apostles would have died before most Christians were born from Christian parents rather than being converts to the faith as adults.” (Trent Horn)

I found that statement unbelievably astounding from an intelligent academic theologian and debater. I may be a little simple, but it seems to me within the realm of logic that any average Christian couple could have a baby within nine months of their conversion. No need for most of the apostles to be dead. (Certainly, this is not the sole argument he makes on the subject, but it was one that he made that I could not believe he made.)